5(s-12)-24=(s+2)

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Solution for 5(s-12)-24=(s+2) equation:


Simplifying
5(s + -12) + -24 = (s + 2)

Reorder the terms:
5(-12 + s) + -24 = (s + 2)
(-12 * 5 + s * 5) + -24 = (s + 2)
(-60 + 5s) + -24 = (s + 2)

Reorder the terms:
-60 + -24 + 5s = (s + 2)

Combine like terms: -60 + -24 = -84
-84 + 5s = (s + 2)

Reorder the terms:
-84 + 5s = (2 + s)

Remove parenthesis around (2 + s)
-84 + 5s = 2 + s

Solving
-84 + 5s = 2 + s

Solving for variable 's'.

Move all terms containing s to the left, all other terms to the right.

Add '-1s' to each side of the equation.
-84 + 5s + -1s = 2 + s + -1s

Combine like terms: 5s + -1s = 4s
-84 + 4s = 2 + s + -1s

Combine like terms: s + -1s = 0
-84 + 4s = 2 + 0
-84 + 4s = 2

Add '84' to each side of the equation.
-84 + 84 + 4s = 2 + 84

Combine like terms: -84 + 84 = 0
0 + 4s = 2 + 84
4s = 2 + 84

Combine like terms: 2 + 84 = 86
4s = 86

Divide each side by '4'.
s = 21.5

Simplifying
s = 21.5

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